Contingent Cones to Reachable Sets of Control Systems

Frankowska H (1988). Contingent Cones to Reachable Sets of Control Systems. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-88-017


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The author studies high order necessary conditions for optimality for an optimal control problem via properties of contingent cones to reachable sets along the optimal trajectory. It is shown that the adjoint vector of Pontryagin's maximum principle is normal to the set of variations of reachable sets. Results are applied to study optimal control problems for dynamical systems described by: (1) Closed loop control systems; (2) Nonlinear implicit systems; (3) Differential inclusions; (4) Control systems with jumps.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 01:59
Last Modified: 14 Mar 2018 07:16

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